Finding the Third Proportional to 78,517 and 174,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,517 : 174,448.50 = 174,448.50 : x
2. Step 2: Convert to fraction form
   78,517/174,448.50 = 174,448.50/x
3. Step 3: Cross multiply
   78,517x = 174,448.50 × 174,448.50
4. Step 4: Simplify right side
   78,517x = 30,432,279,152.25
5. Step 5: Solve for x
   x = 30,432,279,152.25/78,517
6. Step 6: Final answer
   x = 387,588.41